Suppose that the function g is defined for all the numbers as follows

Question

g(x)= -2 if x_< -2

(x+1)^2-2 if -3<x<1

1/2x+2 if x_>1

find g(-5), g(-2), g(0)

Answer 1

g(x)= -2 if x_< -2

(x+1)^2-2 if -3<x<1

1/2x+2 if x_>1

find g(-5), g(-2), g(0)

g(-5) = -2 because x < -2

g(-2) = (-2+1)^2 -2 = -1 because -3< x <1

g(0) = (0 +1)^2 -2 = -1 because -3< x <1